We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

Basic Geometry : Plane Geometry

Study concepts, example questions & explanations for Basic Geometry

Create An Account

All Basic Geometry Resources

9 Diagnostic Tests 164 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #81 : Radius

A circle is inscribed in a square that has side lengths of . Find the area of the circle.

Possible Answers:

$25\pi$

$10\pi$

$50\pi$

$100\pi$

Correct answer:

$25\pi$

Explanation:

Notice that when a circle is inscribed in a square, the length of the side of the square is the same as the diameter of a circle.

Recall how to find the area of a circle:

$\text{Area}=\pi\times\text{radius}^2$

Now, recall the relationship between the radius and the diameter.

$\text{Radius}=\frac{\text{diameter}}{2}$

Use the given information to find the radius.

$\text{Radius}=\frac{10}{2}$

Simplify.

$\text{Radius}=5$

Now, substitute in the value of the radius to find the area of the circle.

$\text{Area}=\pi\times 5^2$

Solve.

$\text{Area}=25\pi$

Report an Error

Example Question #82 : Radius

A circle is inscribed in a square that has side lengths of . Find the area of the circle.

Possible Answers:

$64\pi$

$32\pi$

$128\pi$

$16\pi$

Correct answer:

$16\pi$

Explanation:

Notice that when a circle is inscribed in a square, the length of the side of the square is the same as the diameter of a circle.

Recall how to find the area of a circle:

$\text{Area}=\pi\times\text{radius}^2$

Now, recall the relationship between the radius and the diameter.

$\text{Radius}=\frac{\text{diameter}}{2}$

Use the given information to find the radius.

$\text{Radius}=\frac{8}{2}$

Simplify.

$\text{Radius}=4$

Now, substitute in the value of the radius to find the area of the circle.

$\text{Area}=\pi\times 4^2$

Solve.

$\text{Area}=16\pi$

Report an Error

Example Question #81 : Plane Geometry

A circle is inscribed in a square that has side lengths of . Find the area of the circle.

Possible Answers:

$12\pi$

$9\pi$

$36\pi$

$18\pi$

Correct answer:

$9\pi$

Explanation:

Notice that when a circle is inscribed in a square, the length of the side of the square is the same as the diameter of a circle.

Recall how to find the area of a circle:

$\text{Area}=\pi\times\text{radius}^2$

Now, recall the relationship between the radius and the diameter.

$\text{Radius}=\frac{\text{diameter}}{2}$

Use the given information to find the radius.

$\text{Radius}=\frac{6}{2}$

Simplify.

$\text{Radius}=3$

Now, substitute in the value of the radius to find the area of the circle.

$\text{Area}=\pi\times 3^2$

Solve.

$\text{Area}=9\pi$

Report an Error

Example Question #84 : Radius

Find the area of a circle that is inscribed in a square with side lengths of .

Possible Answers:

$12\pi$

$16\pi$

$4\pi$

$8\pi$

Correct answer:

$4\pi$

Explanation:

Notice that when a circle is inscribed in a square, the length of the side of the square is the same as the diameter of a circle.

Recall how to find the area of a circle:

$\text{Area}=\pi\times\text{radius}^2$

Now, recall the relationship between the radius and the diameter.

$\text{Radius}=\frac{\text{diameter}}{2}$

Use the given information to find the radius.

$\text{Radius}=\frac{4}{2}$

Simplify.

$\text{Radius}=2$

Now, substitute in the value of the radius to find the area of the circle.

$\text{Area}=\pi\times 2^2$

Solve.

$\text{Area}=4\pi$

Report an Error

Example Question #85 : Radius

Find the area of a circle that is inscribed in a square that has side lengths of .

Possible Answers:

$28\pi$

$49\pi$

$63\pi$

$164\pi$

Correct answer:

$49\pi$

Explanation:

Notice that when a circle is inscribed in a square, the length of the side of the square is the same as the diameter of a circle.

Recall how to find the area of a circle:

$\text{Area}=\pi\times\text{radius}^2$

Now, recall the relationship between the radius and the diameter.

$\text{Radius}=\frac{\text{diameter}}{2}$

Use the given information to find the radius.

$\text{Radius}=\frac{14}{2}$

Simplify.

$\text{Radius}=7$

Now, substitute in the value of the radius to find the area of the circle.

$\text{Area}=\pi\times 7^2$

Solve.

$\text{Area}=49\pi$

Report an Error

Example Question #86 : Radius

Find the area of a circle that is inscribed in a square that has side lengths of .

Possible Answers:

$128\pi$

$64\pi$

$32\pi$

$256\pi$

Correct answer:

$64\pi$

Explanation:

Notice that when a circle is inscribed in a square, the length of the side of the square is the same as the diameter of a circle.

Recall how to find the area of a circle:

$\text{Area}=\pi\times\text{radius}^2$

Now, recall the relationship between the radius and the diameter.

$\text{Radius}=\frac{\text{diameter}}{2}$

Use the given information to find the radius.

$\text{Radius}=\frac{16}{2}$

Simplify.

$\text{Radius}=8$

Now, substitute in the value of the radius to find the area of the circle.

$\text{Area}=\pi\times 8^2$

Solve.

$\text{Area}=64\pi$

Report an Error

Example Question #87 : Radius

Find the area of a circle that is inscribed in a square that has side lengths of .

Possible Answers:

$18\pi$

$54\pi$

$81\pi$

$36\pi$

Correct answer:

$81\pi$

Explanation:

Notice that when a circle is inscribed in a square, the length of the side of the square is the same as the diameter of a circle.

Recall how to find the area of a circle:

$\text{Area}=\pi\times\text{radius}^2$

Now, recall the relationship between the radius and the diameter.

$\text{Radius}=\frac{\text{diameter}}{2}$

Use the given information to find the radius.

$\text{Radius}=\frac{18}{2}$

Simplify.

$\text{Radius}=9$

Now, substitute in the value of the radius to find the area of the circle.

$\text{Area}=\pi\times 9^2$

Solve.

$\text{Area}=81\pi$

Report an Error

Example Question #82 : Basic Geometry

Find the area of a circle that is inscribed in a square that has side lengths of .

Possible Answers:

$400\pi$

$100\pi$

$300\pi$

$200\pi$

Correct answer:

$100\pi$

Explanation:

Notice that when a circle is inscribed in a square, the length of the side of the square is the same as the diameter of a circle.

Recall how to find the area of a circle:

$\text{Area}=\pi\times\text{radius}^2$

Now, recall the relationship between the radius and the diameter.

$\text{Radius}=\frac{\text{diameter}}{2}$

Use the given information to find the radius.

$\text{Radius}=\frac{20}{2}$

Simplify.

$\text{Radius}=10$

Now, substitute in the value of the radius to find the area of the circle.

$\text{Area}=\pi\times 10^2$

Solve.

$\text{Area}=100\pi$

Report an Error

Example Question #82 : Radius

Find the area of a circle that is inscribed in a square that has side lengths of .

Possible Answers:

$100\pi$

$144\pi$

$121\pi$

$169\pi$

Correct answer:

$121\pi$

Explanation:

Notice that when a circle is inscribed in a square, the length of the side of the square is the same as the diameter of a circle.

Recall how to find the area of a circle:

$\text{Area}=\pi\times\text{radius}^2$

Now, recall the relationship between the radius and the diameter.

$\text{Radius}=\frac{\text{diameter}}{2}$

Use the given information to find the radius.

$\text{Radius}=\frac{22}{2}$

Simplify.

$\text{Radius}=11$

Now, substitute in the value of the radius to find the area of the circle.

$\text{Area}=\pi\times 11^2$

Solve.

$\text{Area}=121\pi$

Report an Error

Example Question #90 : Radius

Find the area of a circle that is inscribed in a square that has side lengths of .

Possible Answers:

$144\pi$

$165\pi$

$132\pi$

$120\pi$

Correct answer:

$144\pi$

Explanation:

Notice that when a circle is inscribed in a square, the length of the side of the square is the same as the diameter of a circle.

Recall how to find the area of a circle:

$\text{Area}=\pi\times\text{radius}^2$

Now, recall the relationship between the radius and the diameter.

$\text{Radius}=\frac{\text{diameter}}{2}$

Use the given information to find the radius.

$\text{Radius}=\frac{24}{2}$

Simplify.

$\text{Radius}=12$

Now, substitute in the value of the radius to find the area of the circle.

$\text{Area}=\pi\times 12^2$

Solve.

$\text{Area}=144\pi$

Report an Error

View Tutors

Adair
Certified Tutor

Marymount College, Bachelor of Science, Chemistry.

View Tutors

Paarth
Certified Tutor

New Jersey Institute of Technology, Bachelor of Science, Computer Science.

View Tutors

Joshua
Certified Tutor

Murray State University, Bachelor in Arts, Spanish. Lipscomb University, Bachelor of Science, Teacher Assistant.

All Basic Geometry Resources

9 Diagnostic Tests 164 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Physics Tutors in Chicago, Statistics Tutors in Phoenix, LSAT Tutors in Phoenix, Statistics Tutors in Denver, MCAT Tutors in Seattle, Spanish Tutors in Atlanta, SSAT Tutors in Chicago, ACT Tutors in Atlanta, Algebra Tutors in San Francisco-Bay Area, LSAT Tutors in Chicago

Popular Courses & Classes

LSAT Courses & Classes in Houston, LSAT Courses & Classes in Seattle, GRE Courses & Classes in Seattle, SAT Courses & Classes in New York City, SSAT Courses & Classes in Boston, GMAT Courses & Classes in Houston, LSAT Courses & Classes in Washington DC, ISEE Courses & Classes in Boston, ACT Courses & Classes in San Francisco-Bay Area, MCAT Courses & Classes in New York City

Popular Test Prep

GMAT Test Prep in Atlanta, SAT Test Prep in Houston, SSAT Test Prep in Dallas Fort Worth, GRE Test Prep in Atlanta, GRE Test Prep in San Francisco-Bay Area, SAT Test Prep in Dallas Fort Worth, SAT Test Prep in Atlanta, LSAT Test Prep in San Francisco-Bay Area, GMAT Test Prep in Phoenix, ISEE Test Prep in Seattle

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC
101 S. Hanley Rd, Suite 300
St. Louis, MO 63105

Or fill out the form below:

Do not fill in this field

Contact Information

* Full legal name

Company name

* Phone number

* Email address

Address

* Address1

Address2

* City

* State

* Zipcode

* Country

Complaint Details

* URL of copyrighted work (where your original material is located)

* Please describe the copyrighted work so that it may be easily identified

I am the owner, or an agent authorized to act on behalf of the owner of an exclusive right that is allegedly infringed.

I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the law.

This notification is accurate.

I acknowledge that there may be adverse legal consequences for making false or bad faith allegations of copyright infringement by using this process.

* Signature (your digital signature is legally binding)

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

Basic Geometry : Plane Geometry

Study concepts, example questions & explanations for Basic Geometry

All Basic Geometry Resources

Example Questions

Example Question #81 : Radius

Example Question #82 : Radius

Example Question #81 : Plane Geometry

Example Question #84 : Radius

Example Question #85 : Radius

Example Question #86 : Radius

Example Question #87 : Radius

Example Question #82 : Basic Geometry

Example Question #82 : Radius

Example Question #90 : Radius

All Basic Geometry Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: